Use the recursion formula of Exercise 8 to show that for θ = 1/2 the binomial distribution has
![](https://test.transtutors.com/qimg/0050e3c5-d83b-486c-a7b7-08d652fca2b9.png)
Exercise 8
When calculating all the values of a binomial distribution, the work can usually be simplified by first calculating b(0; n, θ ) and then using the recursion formula
![](https://test.transtutors.com/qimg/5cf72f22-a731-42e9-a33c-692c60415008.png)
Verify this formula and use it to calculate the values of the binomial distribution with n = 7 and θ = 0.25.